Scripting - Where is data not shown in the "Info" panel shown?
The info is mainly explicit defined and call from operator :
class mesh_OT_someops(byp.types.Operator):
    def pseudo_excute(self):
        self.report({'INFO'},&quot;This is an Info Output&quot;)

It can be arbitrary thing and most of the time, the final output log is been emitted. And for sure, Blender and all other programming language will not automatically &quot;Saved Log&quot; for anything. Unless that is a state machine, which, seems to far away from the topic.
So, if you are scripting, you will always have to dig out the data from the Blender module bpy. For your mesh selected vertices, it will be something like this:
selected_vertices = [i for i in bmesh.from_edit_mesh(obj.data).verts if i.select]

It is not easy when you are not familiar with program, especially pointer-based programming since most of the Blender object you call is reference. And also, using Blender scripting need a certain degree of Python knowledge, which might be hard to learn, despite Python claims for easy to learn.